Is 2x+3/y=-1 Linear?
Is 2x-8y=0 Linear? What are A, B, and C
The first equation is not linear; the second one is.
You have not defined what A, B and C are. They are probably coefficients in some standard equation form, such as
Ax + By + C = 0
If so, you can figure out what the values are in the second case, yourself.
Is the A, B, C : 2, 8, 0
To determine if an equation is linear, we need to check if it meets the criteria for a linear equation.
A linear equation must have variables raised to the power of 1, and the variables cannot be multiplied or divided together. In other words, the equation should not have terms involving squares, cubes, or other powers of the variables.
In the equation 2x + 3/y = -1, we see that there is a term involving the variable y in the denominator. This means that y is divided by 3, violating the criteria for a linear equation. Therefore, 2x + 3/y = -1 is not a linear equation.
Now let's consider the equation 2x - 8y = 0. Here, we observe that both x and y are raised to the power of 1, and they are not multiplied or divided together. Therefore, the equation 2x - 8y = 0 is a linear equation.
When an equation is in the form Ax + By = C, A, B, and C represent the coefficients of x, y, and the constant term, respectively.
In the equation 2x - 8y = 0, we can identify:
- A = 2, since it is the coefficient of x.
- B = -8, since it is the coefficient of y.
- C = 0, since it is the constant term.
So, for the equation 2x - 8y = 0, A = 2, B = -8, and C = 0.